Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5306/300, 9405/2401 quickly i.e. 49902930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5306/300, 9405/2401 is 49902930.
LCM(5306/300, 9405/2401) = 49902930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5306/300,9405/2401
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 5306,9405
Least Common Multiple of Numerators i.e. LCM of 5306,9405 is 49902930.
GCF of Denominators means GCF of 300,2401 as per the given fractions.
GCF of 300,2401 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5306,9405
Given numbers has no common factors except 1. So, there LCM is their product i.e 49902930
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 5306,9405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5306,9405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5306,9405) x common factors =1 x 1 = 1
LCM(5306,9405) = ( 5306 × 9405 ) / 1
LCM(5306,9405) = 49902930 / 1
LCM(5306,9405) = 49902930
Lets's calculate GCF of 300,2401
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49902930/1
Therefore the LCM of Fractions 5306/300,9405/2401 is 49902930
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 2401
List of positive integer factors of 2401 that divides 2401 without a remainder.
1,7,49,343,2401
Greatest Common Factor
We found the factors 300,2401 . The biggest common factor number is the GCF number.
So the greatest common factor 300,2401 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 5306/300, 9405/2401?
Answer: LCM of Numerators as per given numbers 5306/300, 9405/2401 is
LCM of Numerators i.e. for 5306,9405 is 49902930
GCF of denominators i.e. for 300,2401 is 1.
Thus, LCM of Fractions is 49902930.Finally, LCM of Fractions for 5306/300, 9405/2401 is 49902930.